A305379 Tribonacci representation of primes, written in base 2.

10, 11, 101, 1000, 1100, 10000, 10100, 10110, 11011, 100101, 101000, 110000, 110100, 110110, 1000011, 1001010, 1010010, 1010100, 1011011, 1100011, 1100101, 1101100, 10000010, 10001001, 10010011, 10011000, 10011010, 10100010, 10100100, 10101001, 11000010

Offset: 1

Author

N. J. A. Sloane, Jun 12 2018

Keywords

• nonn
• base

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..20000

Crossrefs

Equals A278038(prime(n)).

Cf. A000073, A305377.

Programs

Maple

T:= proc(n) T(n):= (<<0|1|0>, <0|0|1>, <1|1|1>>^n)[2, 3] end:
b:= proc(n) option remember; local j;
      if n=0 then 0
    else for j from 2 while T(j+1)<=n do od;
         b(n-T(j))+10^(j-2)
      fi
    end:
a:= n-> b(ithprime(n)):
seq(a(n), n=1..40);  # Alois P. Heinz, Jun 13 2018

Extensions

More terms from Alois P. Heinz, Jun 13 2018